In this seminar, we give a topical review on nonequilibrium quantum many-body systems from a quantum-information point of view. To be specific, we will primarily focus on closed and locally interacting systems. Some related experiments and open problems will be mentioned for each topic.

First, we review the well-known Lieb-Robinson bound, which sets the speed limit on quantum-information propagation, and some recent progress on its generalization to long-range systems. We will see how this bound can be useful for proving some nonequilibrium and even equilibrium properties implied by locality.

Then, we review the small-incremental entangling conjecture proposed by Kitaev and its application to many-body systems, leading to an area law for entanglement generation rate. We will also review a recently established phenomenological theory for coarse-grained entanglement dynamics in chaotic systems.

Finally, we review the quantum-information perspective on topological phases at equilibrium and will see how it can be naturally generalized to unitary dynamics. We will also talk about some recent progress on nonequilibrium topological phases, including their classifications and dynamical properties.

Please register here in advance: https://forms.gle/hfNKBghmNCKTVxF57